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Finding the Fourth Proportional to 72,314.88, 99,779.76 and 48,471.84

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Solution

The fourth proportional to 72,314.88, 99,779.76 and 48,471.84 is: 66,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314.88 : 99,779.76 = 48,471.84 : x
  2. Step 2: Convert to fraction form
    72,314.88/99,779.76 = 48,471.84/x
  3. Step 3: Cross multiply
    72,314.88x = 99,779.76 × 48,471.84
  4. Step 4: Simplify right side
    72,314.88x = 4,836,508,561.96
  5. Step 5: Solve for x
    x = 4,836,508,561.96/72,314.88
  6. Step 6: Final answer
    x = 66,881.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.